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arXiv · hep-th/0510095

gamma_i Deformed Lax Pair for Rotating Strings in the Fast Motion Limit

A. H. Prinsloo
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Abstract

A 3-parameter generalization of the Lunin-Maldacena background has recently been constructed by Frolov. This gamma_i-deformed background is non-supersymmetric. We consider strings in this gamma_i-deformed R \times S^5 background rotating in three orthogonal planes (the 3-spin sector) in a fast motion limit, in which the total angular momentum J is assumed to be large. We show that there exists a consistent transformation which takes the undeformed equations of motion into the gamma_i-deformed equations of motion. This transformation is used to construct a Lax pair for the bosonic part of the gamma_i-deformed theory in the fast motion limit. This implies the integrability of the bosonic part of the gamma_i-deformed string sigma model in the fast motion limit.

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A. H. Prinsloo. 2005-10-24. gamma_i Deformed Lax Pair for Rotating Strings in the Fast Motion Limit. https://doi.org/10.1088/1126-6708%2F2006%2F01%2F050

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